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Finding the Fourth Proportional to 323,211.69, 446,039.33 and 179,985.06

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Solution

The fourth proportional to 323,211.69, 446,039.33 and 179,985.06 is: 248,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,211.69 : 446,039.33 = 179,985.06 : x
  2. Step 2: Convert to fraction form
    323,211.69/446,039.33 = 179,985.06/x
  3. Step 3: Cross multiply
    323,211.69x = 446,039.33 × 179,985.06
  4. Step 4: Simplify right side
    323,211.69x = 80,280,414,672.48
  5. Step 5: Solve for x
    x = 80,280,414,672.48/323,211.69
  6. Step 6: Final answer
    x = 248,383.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.